Pertanyaan

Simplify: 2 p 4 ÷ 6 p 9 q 2 ÷ p q 3

Simplify:

$2 p^{4} \div 6 p^{9} q^{2} \div p q^{3}$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk sederhananya adalah .

bentuk sederhananya adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 3 p to the power of 6 q to the power of 5 end fraction end cell end table$ .

Pembahasan

Untuk menyelesaikan soal ini, kalian harus memahami sifat-sifat eksponen berikut: Jadi, bentuk sederhananya adalah .

Untuk menyelesaikan soal ini, kalian harus memahami sifat-sifat eksponen berikut:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 2 p to the power of 4 divided by 6 p to the power of 9 q squared close parentheses divided by p q cubed end cell equals cell open parentheses open parentheses 2 divided by 6 close parentheses p to the power of 4 minus 9 end exponent q to the power of 0 minus 2 end exponent close parentheses divided by p q cubed end cell row blank equals cell 1 third p to the power of negative 5 end exponent q to the power of negative 2 end exponent divided by p q cubed end cell row blank equals cell 1 third p to the power of negative 5 minus 1 end exponent q to the power of negative 2 minus 3 end exponent end cell row blank equals cell 1 third p to the power of negative 6 end exponent q to the power of negative 5 end exponent end cell row blank equals cell fraction numerator 1 over denominator 3 p to the power of 6 q to the power of 5 end fraction end cell end table$

Jadi, bentuk sederhananya adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 3 p to the power of 6 q to the power of 5 end fraction end cell end table$ .